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Wave Functions With Same Energies Are the Same (only differ by a complex phase)
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[QUOTE="blue_leaf77, post: 5471750, member: 536596"] It does not explain why in 1D system like the one considered in the problem, there can be no degeneracy. Your method can be applied, for example, to a hydrogen atom. We know that for quantum numbers ##n>1##, the eigenstates are degenerate and those eigenstates are not merely related by a complex constant. [/QUOTE]
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Wave Functions With Same Energies Are the Same (only differ by a complex phase)
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